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557976640 = 26513134129
BaseRepresentation
bin100001010000100…
…000110001000000
31102212221011001111
4201100200301000
52120320223030
6131211213104
716553503024
oct4120406100
91385834044
10557976640
11266a66121
12136a47194
138b7a40c0
1454168384
1533ebb62a
hex21420c40

557976640 has 56 divisors (see below), whose sum is σ = 1430898840. Its totient is φ = 206020608.

The previous prime is 557976637. The next prime is 557976641. The reversal of 557976640 is 46679755.

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 552062016 = 2432^2 + 23496^2 .

It is a super-2 number, since 2×5579766402 = 622675861571379200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557976641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62905 + ... + 71224.

It is an arithmetic number, because the mean of its divisors is an integer number (25551765).

Almost surely, 2557976640 is an apocalyptic number.

It is an amenable number.

557976640 is an abundant number, since it is smaller than the sum of its proper divisors (872922200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557976640 is a wasteful number, since it uses less digits than its factorization.

557976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134159 (or 134149 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The square root of 557976640 is about 23621.5291630326. The cubic root of 557976640 is about 823.2631424406.

The spelling of 557976640 in words is "five hundred fifty-seven million, nine hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 134129 268258 536516 670645 1073032 1341290 1743677 2146064 2682580 3487354 4292128 5365160 6974708 8584256 8718385 10730320 13949416 17436770 21460640 27898832 34873540 42921280 55797664 69747080 111595328 139494160 278988320 557976640